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Finding the Fourth Proportional to 106.66, 160.02 and 52.54

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Solution

The fourth proportional to 106.66, 160.02 and 52.54 is: 78.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.66 : 160.02 = 52.54 : x
  2. Step 2: Convert to fraction form
    106.66/160.02 = 52.54/x
  3. Step 3: Cross multiply
    106.66x = 160.02 × 52.54
  4. Step 4: Simplify right side
    106.66x = 8,407.45
  5. Step 5: Solve for x
    x = 8,407.45/106.66
  6. Step 6: Final answer
    x = 78.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.